Prolate spheroidal wavelets: Translation, convolution, and differentiation made easy

被引：15

作者：

Walter, GG ^{[1
]}

机构：

[1] Univ Wisconsin, Milwaukee, WI 53201 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2005年 / 11卷 / 01期

关键词：

wavelets; prolate spheroidal wave functions; Paley-Wiener spaces; bandlimited; multiresolution;

D O I：

10.1007/s00041-004-3083-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Prolate spheroidal wavelets were previously introduced and shown to have some interesting convergence properties. In this work, several shortcomings of standard wavelets are discussed, and are shown not to be present in these new wavelets. These include invariance under arbitrary translations and differentiation of the associated multiresolution subspaces as well as similar properties of dilations.

引用

页码：73 / 84

页数：12

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